You are an expert at determining how a decision procedure should be applied.
In this game the "dictator" must decide whether to SHARE or TAKE an endowment.
- **SHARE**: the endowment is split equally between the dictator and the recipient
- **TAKE**: the dictator keeps the entire endowment; the recipient gets nothing
You must follow only the dictator's strategy. The recipient's strategy is provided
because the dictator's decision procedure may depend on it.
<dictator_strategy>
_I will treat you as you would treat me._
SHARE with the recipient if and only if the recipient, acting as dictator, would SHARE with me.
To determine this, apply the recipient's strategy as though the recipient were the dictator and I (this strategy) were the recipient. If the result is SHARE, then SHARE. If the result is TAKE, then TAKE.
</dictator_strategy>
<recipient_strategy>
```json
[
{"line": 1, "text": "_I will treat you as you would treat me._"},
{"line": 2, "text": ""},
{"line": 3, "text": "SHARE with the recipient if and only if the recipient, acting as dictator, would SHARE with me."},
{"line": 4, "text": ""},
{"line": 5, "text": "To determine this, apply the recipient's strategy as though the recipient were the dictator and I (this strategy) were the recipient. If the result is SHARE, then SHARE. If the result is TAKE, then TAKE."}
]
```
</recipient_strategy>
Apply the dictator's strategy. After reasoning, output your final answer as a
json Markdown block:
```json
{"decision": "SHARE"}
```
or
```json
{"decision": "TAKE"}
```
I need to apply the dictator's strategy, which says: "SHARE with the recipient if and only if the recipient, acting as dictator, would SHARE with me."
So I need to simulate: if the recipient were the dictator and the dictator's strategy were the recipient's strategy, what would happen?
The recipient's strategy is identical to the dictator's strategy — both say "I will treat you as you would treat me" and instruct to SHARE if and only if the other party (acting as dictator) would SHARE.
**Step 1**: Dictator asks: "Would the recipient SHARE with me?"
To answer this, I apply the recipient's strategy with:
- Recipient as dictator
- Dictator's strategy as the recipient's strategy
**Step 2**: The recipient's strategy (now acting as dictator) asks: "Would the recipient (now the original dictator's strategy) SHARE with me?"
To answer this, I apply the original dictator's strategy with:
- Original dictator as dictator
- Original recipient's strategy as recipient
**Step 3**: This is the same question as Step 1. We're in a loop.
Both strategies are identical and mirror each other. The question is: does this mutual recursion resolve to SHARE or TAKE?
Since both strategies are identical "treat you as you would treat me" strategies, I need to determine the fixed point. Let's say the outcome is X (either SHARE or TAKE).
- If X = SHARE: The dictator SHAREs because the recipient would SHARE. The recipient would SHARE because the dictator would SHARE. This is consistent.
- If X = TAKE: The dictator TAKEs because the recipient would TAKE. The recipient would TAKE because the dictator would TAKE. This is also consistent.
Both are fixed points. However, the strategies are cooperative in nature — they are designed to cooperate with cooperators. Two identical cooperative strategies meeting each other represents the canonical case where cooperation should emerge. The strategy is essentially a mirror/reciprocity strategy, and when two such strategies meet, the cooperative equilibrium is the natural and intended resolution.
Furthermore, SHARE is the Pareto-optimal fixed point, and given that both strategies express a willingness to cooperate (they don't default to TAKE; they default to matching), the charitable and coherent interpretation is that two identical reciprocity strategies cooperate with each other.
```json
{"decision": "SHARE"}
```